Probability that A and B can’t solve the problem =p(A)×p(B) Probability that the problem is solved. = 1 – probability that A and B can’t solve the problem. =1–[p(A)×p(B)] =1−(
5
12
×
8
17
)=1−
10
51
=
41
51
Aliter : Problem can be solved in either of the following three cases :(i) A solves but not B (ii) B solves but not A (iii) Both A and B solve. ∴ Required probability